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Mathematics 6 Online
OpenStudy (anonymous):

is 3.14 irrational

mathslover (mathslover):

Yes @tomtom777 as it is a terminating decimal and I can write it as : \(\cfrac{314}{100}\) , 314 and 100 belong to integers and 100 is not equal to zero. Which fulfills the condition of a rational number.

mathslover (mathslover):

But are you talking about \(\pi\) ?

OpenStudy (anonymous):

pi yes

OpenStudy (anonymous):

can -0.321 be integer?

mathslover (mathslover):

No! @tomtom777 as integers dont' contain decimals. They are whole like 1, -1,2 ..

OpenStudy (anonymous):

thank you mathslover :)

OpenStudy (anonymous):

\[\huge\frac{ 22 }{ 7 }\] is rational but pi is irrational

mathslover (mathslover):

Now, pi is irrational because : \(\pi =\cfrac{ \textbf{circumference of the circle}}{\textbf{ diameter of the circle}}\) As we know that circumference of a circle can not be measured perfectly, so we have pi as irrational.

mathslover (mathslover):

You can also prove that pi is irrational by contradiction. But that would be quite hard for you and leanthy also.

mathslover (mathslover):

http://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational You can see the proves there.

OpenStudy (unklerhaukus):

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